Ap Calculus Bc Certification Evaluation Full Questions And Verified Answers Test Bank

AP CALCULUS BC CERTIFICATION
EVALUATION FULL QUESTIONS AND
VERIFIED ANSWERS TEST BANK

●● Alternate definition of derivative
Answer: lim x→a[f(x)-f(a)]/(x-a)


●● When f '(x) is positive, f(x) is
Answer: increasing


●● When f '(x) is negative, f(x) is
Answer: decreasing


●● When f '(x) changes from negative to positive, f(x) has a
Answer: relative minimum


●● When f '(x) changes from positive to negative, f(x) has a
Answer: relative maximum


●● When f '(x) is increasing, f(x) is
Answer: concave up

,●● When f '(x) is decreasing, f(x) is
Answer: concave down


●● When f '(x) changes from increasing to decreasing or decreasing to
increasing, f(x) has a
Answer: point of inflection


●● When is a function not differentiable
Answer: corner, cusp, vertical tangent, discontinuity


●● Chain Rule
Answer: f '(g(x)) g'(x)


●● Particle is moving to the right/up
Answer: velocity is positive


●● Particle is moving to the left/down
Answer: velocity is negative


●● absolute value of velocity
Answer: speed

, ●● y = sin⁻¹(x), y' =
Answer: y' = 1/√(1 - x²)


●● y = cos⁻¹(x), y' =
Answer: y' = -1/√(1 - x²)


●● y = tan⁻¹(x), y' =
Answer: y' = 1/(1 + x²)


●● y = cot⁻¹(x), y' =
Answer: y' = -1/(1 + x²)


●● y = a^x, y' =
Answer: y' = a^x ln(a)


●● y = ln(x), y' =
Answer: y' = 1/x


●● y = log (base a) x, y' =
Answer: y' = 1/(x lna)